Question 59

The pair of linear equations 3x + y = 1 and px + 2y = 5 has no finite solution if

Solution

The two equations 3x + y = 1 and px + 2y = 5 represents two straight lines. For the equations to possess no solution, they must be parallel and not coincident.

For this we must have:

6-p=0

p=6


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